A wholesaler is to transport 840 crates of soda from the factory to his shop. He has a lorry which can carry 150 crates at a time and a pick-up which can carry 60 crates at a time. The cost of each journey for the lorry is Shs 25,000 and for the pick-up, it is Shs 20,000. Due to time constraint, the pick-up is to make more journeys than the lorry because it travels faster. He has Shs 250,000 available for transportation. having had the knowledge of linear programming ,advise how he can organize his vehicles to keep the cost as low as possible and state how much he saves by making these journeys.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A wholesaler is to transport 840 crates of soda from the factory to his shop. He has a lorry which can carry 150 crates at a time and a pick-up which can carry 60 crates at a time. The cost of each journey for the lorry is Shs 25,000 and for the pick-up, it is Shs 20,000. Due to time constraint, the pick-up is to make more journeys than the lorry because it travels faster. He has Shs 250,000 available for transportation.

having had the knowledge of linear programming ,advise how he can organize his vehicles to keep the cost as low as possible and state how much he saves by making these journeys. 

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